Use the graph to check all statements that are true. *Choose 4!(4 points)ResponsesThe y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000The slope of the graph has a length of 100.The slope of the graph has a length of 100.The slope of the graph shows a decrease of $100 in a 10 week period of time.The slope of the graph shows a decrease of $100 in a 10 week period of time.The slope of the graph shows that as the weeks increase, the loan also increases.The slope of the graph shows that as the weeks increase, the loan also increases.The graph is decreasing, but the rate of change does not stay constant.The graph is decreasing, but the rate of change does not stay constant.The graph is Linear.The graph is Linear.The x-intercept is (10, 0) and states that at 0 time, your loan is $10The x-intercept is (10, 0) and states that at 0 time, your loan is $10The graph is decreasing with a constant rate of change.The graph is decreasing with a constant rate of change.The graph is nonlinear.The graph is nonlinear.The slope of the graph shows a decrease of $100 each week.The slope of the graph shows a decrease of $100 each week.The graph is increasing at a constant rate of change.

1 answer

Based on the information provided, let's analyze the statements to determine which ones are likely true:

  1. The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000. - True, if the graph starts at $1000 when time is 0.

  2. The slope of the graph has a length of 100. - This can be true depending on the context of the graph but typically relates to the rate of change rather than a "length."

  3. The slope of the graph shows a decrease of $100 in a 10 week period of time. - This is plausible if the graph indeed shows a decrease of that amount over that period.

  4. The slope of the graph shows that as the weeks increase, the loan also increases. - This would be false if the graph shows a decrease in the loan amount as time progresses.

  5. The graph is decreasing, but the rate of change does not stay constant. - This can be true if the graph bends or changes direction.

  6. The graph is Linear. - This would be false if the graph is observed to be decreasing but at a non-constant rate.

  7. The x-intercept is (10, 0) and states that at 0 time, your loan is $10. - This statement is inconsistent; the x-intercept indicates the time at which the loan is zero, not the loan value at 0 time.

  8. The graph is decreasing with a constant rate of change. - True if the slope is constant.

  9. The graph is nonlinear. - False if it’s shown to be linear in behavior.

  10. The slope of the graph shows a decrease of $100 each week. - True if the slope indeed indicates a consistent decrease.

  11. The graph is increasing at a constant rate of change. - This would be false if the graph is confirmed to be decreasing.

Given the statements above, the following would be the selected true statements based on the usual characteristics of a graph that represents a decreasing loan:

  • The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000.
  • The slope of the graph shows a decrease of $100 in a 10 week period of time.
  • The graph is decreasing with a constant rate of change.
  • The slope of the graph shows a decrease of $100 each week.

You should confirm these with the actual graph visuals for better accuracy.